either, it's your preference, I've done both, I probably lean to wet and I make my own marinades....
wood for the smoke factor, cedar or mesquite, soak the wood for four hours before using it and it's reusable, base material wood or charcoal...gas is okay if regs force you to.
I cook straight, only ribs I bake before hand, then marinade overnight before the final cook off
Best tip - don't overcook it but let your meat rest on the edge of the barbie, fifteen -twenty mins for beef and lamb minimum, fifteen for chicken and white meat, even fish benefits from five to ten, the juices from the centre of the meat spreading outwards as it rests and giving that 'delish' flavour - if you cut into an extremely rare steak and it 'bleeds' red, you have been too quick.
2nd best tip, don't underestimate the power of chipotle, it's a wonderful bbq spice....